3/x-3=4/2x-8

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Solution for 3/x-3=4/2x-8 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

3/x-3 = (4/2)*x-8 // - (4/2)*x-8

3/x-((4/2)*x)-3+8 = 0

3/x-2*x-3+8 = 0

3*x^-1-2*x^1+5*x^0 = 0

(5*x^1-2*x^2+3*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^1-2*x^2+3*x^0) = 0

x^1

5*x-2*x^2+3 = 0

5*x-2*x^2+3 = 0

DELTA = 5^2-(-2*3*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(-2*2) or x = (-49^(1/2)-5)/(-2*2)

x = -1/2 or x = 3

x in { -1/2, 3} 

x in { -1/2, 3 }

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